Find the limit algebraically.
-$$\lim _ { x \rightarrow0 } ( x - \sqrt { 5 } ) ( x + \sqrt { 5 } )$$
A) -5
B) 0
C) 5
D) does not exist

Name: Find the limit algebraically. -\[\lim _ { x \rightarrow0 } ( x - \sqrt { 5 } ) ( x + \sqrt { 5 } )\] A) -5 B) 0 C) 5 D) does not exist
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Question

Quizplus · Accepted Answer

The expression can be simplified using the difference of squares formula: $(x - \sqrt{5})(x + \sqrt{5}) = x^2 - (\sqrt{5})^2 = x^2 - 5$. Taking the limit as $x$ approaches 0 gives $0^2 - 5 = -5$.

Find the Limit Algebraically lim⁡x→0(x−5)(x+5)\lim _ { x \rightarrow0 } ( x - \sqrt { 5 } ) ( x + \sqrt { 5 } )x→0lim​(x−5​)(x+5​)

Find the Limit Algebraically $\lim _ { x \rightarrow0 } ( x - \sqrt { 5 } ) ( x + \sqrt { 5 } )$